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Finding the Third Proportional to 474,848,857.50 and 1,030,914,145.50

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Solution

The third proportional to 474,848,857.50 and 1,030,914,145.50 is: 2,238,152,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,848,857.50 : 1,030,914,145.50 = 1,030,914,145.50 : x
  2. Step 2: Convert to fraction form
    474,848,857.50/1,030,914,145.50 = 1,030,914,145.50/x
  3. Step 3: Cross multiply
    474,848,857.50x = 1,030,914,145.50 × 1,030,914,145.50
  4. Step 4: Simplify right side
    474,848,857.50x = 1,062,783,975,391,995,136
  5. Step 5: Solve for x
    x = 1,062,783,975,391,995,136/474,848,857.50
  6. Step 6: Final answer
    x = 2,238,152,116.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.